Question

Which pairs are like terms in expression 2/5y + 1/5x - 0.2y - 6 + (-2)

Answer 1

The pair of like terms are:

$\frac{2}{5}y \text{ and } -0.2y$

Solution:

Given expression is:

$\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)$

We have to find the pairs that are like terms in the given expression

Like terms means that, terms that have same varibale but different ( or same ) coefficients

Here in the given expression "x" and "y" are the two variables present

Arrange the like terms

$\frac{2}{5}y-0.2y+\frac{1}{5}x-6+(-2)$

So here the first two terms has same varibale "y" but different coefficients. So they form a pair of like terms

"x" is present only once . There is no other term with variable "x"

6 and -2 are constants

So the pair of like terms are: $\frac{2}{5}y \text{ and } -0.2y$